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What is Continuity Analysis of Functions about?

The function f(x) is defined as f(x) = x2 when x ≠ 0 and f(x) = 1 when x = 0. The left and right hand limits of f(x) as x approaches 0 are evaluated. The left hand limit is shown to be 0 while the right hand limit does not exist. Since the limits do not match and are not equal to the function value at x=0, f(x) is discontinuous at x = 0.

Author

sharon monisha

Language

EN